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Finding the Fourth Proportional to 364,858, 546,837.72 and 259,104.40

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Solution

The fourth proportional to 364,858, 546,837.72 and 259,104.40 is: 388,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,858 : 546,837.72 = 259,104.40 : x
  2. Step 2: Convert to fraction form
    364,858/546,837.72 = 259,104.40/x
  3. Step 3: Cross multiply
    364,858x = 546,837.72 × 259,104.40
  4. Step 4: Simplify right side
    364,858x = 141,688,059,337.97
  5. Step 5: Solve for x
    x = 141,688,059,337.97/364,858
  6. Step 6: Final answer
    x = 388,337.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.